American households increasingly rely on cell phones as their exclusive telephone service. It is reported that 49.6% of American households still have landline phone service. We decide to randomly call eight households and ask if the home has a landline phone. a-1. What is the random variable? a-2. How is the random variable distributed? b. What is the probability that none of the households in the sampled group have landline phone service? (Round your answer to 4 decimal places.) c. What is the probability that exactly five of the households in the sampled group have a landline phone service? (Round your answer to 4 decimal places.) d. Given the probability distribution, what is the mean number of households with landline service? (Round your answer to 3 decimal places.) e. What is the variance of the probability distribution of the number of households with landline service? (Round your answer to 3 decimal places.)